Finding the Fourth Proportional to 10,401.28, 14,353.83 and 5,685.58

Step by Step Solution

1. Step 1: Write the proportion equation
   10,401.28 : 14,353.83 = 5,685.58 : x
2. Step 2: Convert to fraction form
   10,401.28/14,353.83 = 5,685.58/x
3. Step 3: Cross multiply
   10,401.28x = 14,353.83 × 5,685.58
4. Step 4: Simplify right side
   10,401.28x = 81,609,848.77
5. Step 5: Solve for x
   x = 81,609,848.77/10,401.28
6. Step 6: Final answer
   x = 7,846.14